Relation of Oscillation Frequency to the Equation of State of Relativistic Stars

We study the dependence of quasi-normal modes of neutron stars on their equation of state (EOS). We construct neutron star configurations of different EOSs while having the same mass M and radius R, and investigate how their l=2 fundamental mode frequencies would be different. We find that both the real and imaginary parts of the l=2 frequencies are related to the r⁻¹ moment of the configurations.